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To solve this problem, we first need to express the speed properly and then calculate the distance covered in 6 hours.

### Step 1: Express the speed in improper fraction
The speed is given as \( 55 \frac{2}{3} \) km/h. This can be converted into an improper fraction:
\[
55 \frac{2}{3} = \frac{(55 \times 3) + 2}{3} = \frac{165 + 2}{3} = \frac{167}{3} \, \text{km/h}
\]

### Step 2: Use the formula for distance
The formula for distance is:
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]
Given that the speed is \( \frac{167}{3} \) km/h and the time is 6 hours, we can substitute these values into the formula:
\[
\text{Distance} = \frac{167}{3} \times 6 = \frac{167 \times 6}{3} = \frac{1002}{3} = 334 \, \text{km}
\]

### Answer:
The motorbike will cover a distance of **334 km** in 6 hours at the same speed.

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Would you like further details or have any other questions?

Here are some related questions for practice:
1. What would be the distance covered in 8 hours at the same speed?
2. If the speed were reduced to \(45 \, \text{km/h}\), how much distance would be covered in 6 hours?
3. How long will it take to cover 500 km at a speed of \(55 \frac{2}{3} \, \text{km/h}\)?
4. How much distance will be covered in 4 hours at a speed of \(65 \, \text{km/h}\)?
5. If the motorbike travels for 12 hours at a speed of \( \frac{167}{3} \, \text{km/h}\), how far will it travel?

### Tip:
When working with mixed numbers like \(55 \frac{2}{3}\), always convert them to improper fractions before performing multiplication or division.

A motorbike covers a distance at a uniform speed of 55 2/3 km per hour. How much distance will it cover in 6 hours with the same speed?

Learn how to calculate the distance a motorbike covers in 6 hours while traveling at a speed of 55 2/3 km/h. This solution explains key concepts related to speed, time, and fractions, and includes step-by-step calculations. Suitable for students in Grades 6-8.

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